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10808532 = 2233717292
BaseRepresentation
bin101001001110…
…110011010100
3202100010112000
4221032303110
510231333112
61023355300
7160604520
oct51166324
922303460
1010808532
116112679
123752b30
1323158a7
141614d80
15e377dc
hexa4ecd4

10808532 has 144 divisors (see below), whose sum is σ = 35118720. Its totient is φ = 2806272.

The previous prime is 10808531. The next prime is 10808569. The reversal of 10808532 is 23580801.

It is a happy number.

10808532 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10808496 and 10808505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10808531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372694 + ... + 372722.

It is an arithmetic number, because the mean of its divisors is an integer number (243880).

Almost surely, 210808532 is an apocalyptic number.

10808532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10808532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17559360).

10808532 is an abundant number, since it is smaller than the sum of its proper divisors (24310188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10808532 is a wasteful number, since it uses less digits than its factorization.

10808532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10808532 is about 3287.6331912183. The cubic root of 10808532 is about 221.1000822948.

The spelling of 10808532 in words is "ten million, eight hundred eight thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 29 34 36 42 51 54 58 63 68 84 87 102 108 116 119 126 153 174 189 203 204 238 252 261 306 348 357 378 406 459 476 493 522 609 612 714 756 783 812 841 918 986 1044 1071 1218 1428 1479 1566 1682 1827 1836 1972 2142 2436 2523 2958 3132 3213 3364 3451 3654 4284 4437 5046 5481 5887 5916 6426 6902 7308 7569 8874 10092 10353 10962 11774 12852 13311 13804 14297 15138 17661 17748 20706 21924 22707 23548 26622 28594 30276 31059 35322 41412 42891 45414 52983 53244 57188 62118 70644 85782 90828 93177 100079 105966 124236 128673 158949 171564 186354 200158 211932 257346 300237 317898 372708 386019 400316 514692 600474 635796 772038 900711 1200948 1544076 1801422 2702133 3602844 5404266 10808532